We used to go camping in that area every year.
I think it was called White River Junction campground.
It was right on a river and had a place to jump off the rock/cliff.
About 25 feet, maybe 30. But it felt A LOT higher when it was your turn!
Choose your river carefully.
Lots of rivers are low this time of year and tubing could be a hassle.
I've only camped and/or drove through White River Junction, so I can't recommend a place to stay.
Try the Quechee Gorge area. I know there are lots of hotels and I think it's pretty close. It's also a great little hike down the gorge.
Have fun.